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434112211434 = 23116577457749
BaseRepresentation
bin1100101000100110001…
…10101010100111101010
31112111112000201020222010
412110103012222213222
524103030211231214
6531232311140350
743235463625326
oct6242306524752
91474460636863
10434112211434
11158119031780
12701733746b6
1331c23952935
1417022810986
15b45b560659
hex65131aa9ea

434112211434 has 16 divisors (see below), whose sum is σ = 947153916000. Its totient is φ = 131549154960.

The previous prime is 434112211417. The next prime is 434112211441.

It is a happy number.

434112211434 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4341122114342 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3288728809 + ... + 3288728940.

It is an arithmetic number, because the mean of its divisors is an integer number (59197119750).

Almost surely, 2434112211434 is an apocalyptic number.

434112211434 is an abundant number, since it is smaller than the sum of its proper divisors (513041704566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434112211434 is a wasteful number, since it uses less digits than its factorization.

434112211434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6577457765.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 434112 and 211434, that added together give a palindrome (645546).

The spelling of 434112211434 in words is "four hundred thirty-four billion, one hundred twelve million, two hundred eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 6577457749 13154915498 19732373247 39464746494 72352035239 144704070478 217056105717 434112211434